Working alone, two people can clean their house in 3 hours and 6 hours, respectively

Chapter 0, Problem 65

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Working alone, two people can clean their house in 3 hours and 6 hours, respectively. They have agreed to clean together so that they can finish in time to watch a TV program that begins in 1 1 2 hours. How long will it take them to clean the house working together? Can they finish before the program starts?

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